Atkin-Lehner |
2+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650h |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-6553033116467200 = -1 · 214 · 52 · 114 · 1033 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 11- 3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5208066,4574269268] |
[a1,a2,a3,a4,a6] |
Generators |
[1421:5881:1] |
Generators of the group modulo torsion |
j |
-624903592457445777922945/262121324658688 |
j-invariant |
L |
2.481371484262 |
L(r)(E,1)/r! |
Ω |
0.34343500957854 |
Real period |
R |
0.30104816232824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56650bc1 |
Quadratic twists by: 5 |